Visual Proof of Two Integrals

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Left graphic:


= blue area + orange area = .

Therefore .

Right graphic:

= blue area + orange area = .

Therefore .


Contributed by: Soledad Mª Sáez Martínez and Félix Martínez de la Rosa (March 2011)
Open content licensed under CC BY-NC-SA



Reference: Thomas J. Osler, "Visual Proof of Two Integrals," The College Mathematics Journal, 34(3), 2003 pp. 241–242.

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